Fixed Point Results via Orthogonal (α − 𝔶 − 𝔾)-Contraction in Orthogonal Complete Metric Space-Reference-Cited by-同舟云学术

Fixed Point Results via Orthogonal (α − 𝔶 − 𝔾)-Contraction in Orthogonal Complete Metric Space

Published:2023-09-14 Issue:9 Volume:15 Page:1762
ISSN:2073-8994
Container-title:Symmetry
language:en
Short-container-title:Symmetry

Author:

Liu Xiaolan¹²³^ORCID,Nallaselli Gunasekaran⁴,Haq Absar Ul⁵,Gnanaprakasam Arul Joseph⁴^ORCID,Baloch Imran Abbas⁶⁷^ORCID

Affiliation:

1. College of Mathematics and Statistics, Sichuan University of Science and Engineering, Zigong 643000, China

2. Key Laboratory of Higher Education of Sichuan Province for Enterprise Informationalization and Internet of Things, Zigong 643000, China

3. South Sichuan Center for Applied Mathematics, Zigong 643000, China

4. Department of Mathematics, College of Engineering and Technology, SRM Institute of Science and Technology, Kattankulathur 603203, India

5. Department of Natural Sciences and Humanities, University of Engineering and Technology (Narowal Campus), Lahore 54000, Pakistan

6. Abdus Salam School of Mathematical Sciences, GC University, Lahore 54600, Pakistan

7. Higher Education Department, Government Graduate College for Boys Gulberg, Lahore 54600, Pakistan

Abstract

In this publication, we establish a suitable symmetry structure for orthogonal (α−y−G)-contractive mappings and prove fixed point results for an orthogonal (α−y−G)-contractive via orthogonal metric spaces. We give an application to strengthen our main results from the existing literature to prove the existence of a unique analytical solution to the differential equation by converting it into an integral equation through fixed point analysis.

Publisher

MDPI AG

Subject

Physics and Astronomy (miscellaneous),General Mathematics,Chemistry (miscellaneous),Computer Science (miscellaneous)

Link

https://www.mdpi.com/2073-8994/15/9/1762/pdf

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